Paper: CSIR-NET June 2014 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Particle In A Box · Marks: 2 · Difficulty: Medium
A particle in a 1-dimensional box of length L is perturbed by a delta function potential, $\delta(\mathrm{x}-\mathrm{L} / 2)$, in the middle of the box. The first order energy correction to the ground state will be [Hint:
\[ \left.\int_{+\infty}^{-\infty} f(x) \delta(x-a) d x-f(a)\right] \]
(a)0
(b)1
(c)$\mathrm{L} / 2$
(d)$2 / \mathrm{L}$
Answer
Answer: D ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.